Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bf |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
168691551436800 = 228 · 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210840,37328112] |
[a1,a2,a3,a4,a6] |
Generators |
[269:70:1] |
Generators of the group modulo torsion |
j |
253060782505556761/41184460800 |
j-invariant |
L |
5.3843439730148 |
L(r)(E,1)/r! |
Ω |
0.55426965714313 |
Real period |
R |
2.4285760115245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990p1 127680fe1 95760dp1 |
Quadratic twists by: -4 8 -3 |